3.8(2)+x(2)=10.9(2)

Solution for 3.8(2)+x(2)=10.9(2) equation:

3.8(2)+x(2)=10.9(2)

We move all terms to the left:

3.8(2)+x(2)-(10.9(2))=0

We add all the numbers together, and all the variables

x^2-7.1=0

a = 1; b = 0; c = -7.1;
Δ = b2-4ac
Δ = 02-4·1·(-7.1)
Δ = 28.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{28.4}}{2*1}=\frac{0-\sqrt{28.4}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{28.4}}{2*1}=\frac{0+\sqrt{28.4}}{2}
=\frac{\sqrt{}}{2}
$